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Finding the Third Proportional to 69,034 and 150,990

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Solution

The third proportional to 69,034 and 150,990 is: 330,242.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,034 : 150,990 = 150,990 : x
  2. Step 2: Convert to fraction form
    69,034/150,990 = 150,990/x
  3. Step 3: Cross multiply
    69,034x = 150,990 × 150,990
  4. Step 4: Simplify right side
    69,034x = 22,797,980,100
  5. Step 5: Solve for x
    x = 22,797,980,100/69,034
  6. Step 6: Final answer
    x = 330,242.78

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.